1.4r^2=42

Solution for 1.4r^2=42 equation:

1.4r^2=42

We move all terms to the left:

1.4r^2-(42)=0

a = 1.4; b = 0; c = -42;
Δ = b2-4ac
Δ = 02-4·1.4·(-42)
Δ = 235.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{235.2}}{2*1.4}=\frac{0-\sqrt{235.2}}{2.8}
=-\frac{\sqrt{}}{2.8}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{235.2}}{2*1.4}=\frac{0+\sqrt{235.2}}{2.8}
=\frac{\sqrt{}}{2.8}
$